// PIVOTFIB Validation Tests - Fibonacci Pivot Points // Self-consistency validation: math correctness, streaming==batch, streaming==span, // streaming==batchAll, determinism, Calculate, level ordering. // No external library implements Fibonacci Pivot Points with bar-to-bar granularity. using System.Runtime.InteropServices; namespace QuanTAlib.Tests; public sealed class PivotfibValidationTests { private static TBarSeries CreateGbmBars(int count = 500, int seed = 42) { var gbm = new GBM(startPrice: 100.0, mu: 0.05, sigma: 0.20, seed: seed); return gbm.Fetch(count, DateTime.UtcNow.Ticks, TimeSpan.FromMinutes(1)); } // ── Math correctness ──────────────────────────────────────────── [Fact] public void MathCorrectness_FibonacciFormula() { var bars = CreateGbmBars(); var ind = new Pivotfib(); for (int i = 0; i < bars.Count; i++) { ind.Update(bars[i], isNew: true); if (i < 1) { continue; } double pH = bars[i - 1].High; double pL = bars[i - 1].Low; double pC = bars[i - 1].Close; double expectedPP = (pH + pL + pC) / 3.0; double range = pH - pL; Assert.Equal(expectedPP, ind.PP, 10); Assert.Equal(expectedPP + 0.382 * range, ind.R1, 10); Assert.Equal(expectedPP - 0.382 * range, ind.S1, 10); Assert.Equal(expectedPP + 0.618 * range, ind.R2, 10); Assert.Equal(expectedPP - 0.618 * range, ind.S2, 10); Assert.Equal(expectedPP + range, ind.R3, 10); Assert.Equal(expectedPP - range, ind.S3, 10); } } // ── Streaming == Batch ────────────────────────────────────────── [Fact] public void Streaming_Matches_Batch_PP() { var bars = CreateGbmBars(); // Streaming var ind = new Pivotfib(); var streamPP = new List(bars.Count); for (int i = 0; i < bars.Count; i++) { ind.Update(bars[i], isNew: true); streamPP.Add(ind.PP); } // Batch var batchResult = Pivotfib.Batch(bars); for (int i = 0; i < bars.Count; i++) { if (double.IsNaN(streamPP[i])) { Assert.True(double.IsNaN(batchResult[i].Value)); continue; } Assert.Equal(streamPP[i], batchResult[i].Value, 10); } } // ── Streaming == Span ─────────────────────────────────────────── [Fact] public void Streaming_Matches_Span_PP() { var bars = CreateGbmBars(); // Streaming var ind = new Pivotfib(); var streamPP = new List(bars.Count); for (int i = 0; i < bars.Count; i++) { ind.Update(bars[i], isNew: true); streamPP.Add(ind.PP); } // Span int len = bars.Count; var ppOut = new double[len]; Pivotfib.Batch(bars.HighValues, bars.LowValues, bars.CloseValues, ppOut); for (int i = 0; i < len; i++) { if (double.IsNaN(streamPP[i])) { Assert.True(double.IsNaN(ppOut[i])); continue; } Assert.Equal(streamPP[i], ppOut[i], 10); } } // ── Streaming == BatchAll (all 7 levels) ──────────────────────── [Fact] public void Streaming_Matches_BatchAll_AllLevels() { var bars = CreateGbmBars(); // Streaming var ind = new Pivotfib(); var sPP = new List(bars.Count); var sR1 = new List(bars.Count); var sS1 = new List(bars.Count); var sR2 = new List(bars.Count); var sS2 = new List(bars.Count); var sR3 = new List(bars.Count); var sS3 = new List(bars.Count); for (int i = 0; i < bars.Count; i++) { ind.Update(bars[i], isNew: true); sPP.Add(ind.PP); sR1.Add(ind.R1); sS1.Add(ind.S1); sR2.Add(ind.R2); sS2.Add(ind.S2); sR3.Add(ind.R3); sS3.Add(ind.S3); } // BatchAll int len = bars.Count; var ppOut = new double[len]; var r1Out = new double[len]; var s1Out = new double[len]; var r2Out = new double[len]; var s2Out = new double[len]; var r3Out = new double[len]; var s3Out = new double[len]; Pivotfib.BatchAll( bars.HighValues, bars.LowValues, bars.CloseValues, ppOut, r1Out, s1Out, r2Out, s2Out, r3Out, s3Out); for (int i = 0; i < len; i++) { if (double.IsNaN(sPP[i])) { Assert.True(double.IsNaN(ppOut[i])); continue; } Assert.Equal(sPP[i], ppOut[i], 10); Assert.Equal(sR1[i], r1Out[i], 10); Assert.Equal(sS1[i], s1Out[i], 10); Assert.Equal(sR2[i], r2Out[i], 10); Assert.Equal(sS2[i], s2Out[i], 10); Assert.Equal(sR3[i], r3Out[i], 10); Assert.Equal(sS3[i], s3Out[i], 10); } } // ── Determinism ───────────────────────────────────────────────── [Fact] public void Determinism_TwoRuns_IdenticalResults() { var bars = CreateGbmBars(); var ind1 = new Pivotfib(); var ind2 = new Pivotfib(); for (int i = 0; i < bars.Count; i++) { ind1.Update(bars[i], isNew: true); ind2.Update(bars[i], isNew: true); } Assert.Equal(ind1.PP, ind2.PP, 15); Assert.Equal(ind1.R1, ind2.R1, 15); Assert.Equal(ind1.S1, ind2.S1, 15); Assert.Equal(ind1.R2, ind2.R2, 15); Assert.Equal(ind1.S2, ind2.S2, 15); Assert.Equal(ind1.R3, ind2.R3, 15); Assert.Equal(ind1.S3, ind2.S3, 15); } // ── Calculate factory ─────────────────────────────────────────── [Fact] public void Calculate_ReturnsValidResults() { var bars = CreateGbmBars(); var (results, indicator) = Pivotfib.Calculate(bars); Assert.NotNull(results); Assert.NotNull(indicator); Assert.Equal(bars.Count, results.Count); Assert.True(indicator.IsHot); } // ── Level Ordering ────────────────────────────────────────────── [Fact] public void LevelOrdering_S3_LessThan_S2_LessThan_S1_LessThan_PP_LessThan_R1_LessThan_R2_LessThan_R3() { var bars = CreateGbmBars(); var ind = new Pivotfib(); for (int i = 0; i < bars.Count; i++) { ind.Update(bars[i], isNew: true); if (!ind.IsHot) { continue; } // For Fibonacci pivots with positive range, strict ordering holds if (bars[i - 1].High > bars[i - 1].Low) { Assert.True(ind.S3 < ind.S2, $"S3 ({ind.S3}) should be < S2 ({ind.S2}) at bar {i}"); Assert.True(ind.S2 < ind.S1, $"S2 ({ind.S2}) should be < S1 ({ind.S1}) at bar {i}"); Assert.True(ind.S1 < ind.PP, $"S1 ({ind.S1}) should be < PP ({ind.PP}) at bar {i}"); Assert.True(ind.PP < ind.R1, $"PP ({ind.PP}) should be < R1 ({ind.R1}) at bar {i}"); Assert.True(ind.R1 < ind.R2, $"R1 ({ind.R1}) should be < R2 ({ind.R2}) at bar {i}"); Assert.True(ind.R2 < ind.R3, $"R2 ({ind.R2}) should be < R3 ({ind.R3}) at bar {i}"); } } } // ── Symmetry ──────────────────────────────────────────────────── [Fact] public void Symmetry_DistancesAboveAndBelowPP_AreEqual() { var bars = CreateGbmBars(); var ind = new Pivotfib(); for (int i = 0; i < bars.Count; i++) { ind.Update(bars[i], isNew: true); if (!ind.IsHot) { continue; } // Fibonacci pivots are symmetric: R_n - PP == PP - S_n Assert.Equal(ind.R1 - ind.PP, ind.PP - ind.S1, 10); Assert.Equal(ind.R2 - ind.PP, ind.PP - ind.S2, 10); Assert.Equal(ind.R3 - ind.PP, ind.PP - ind.S3, 10); } } }